When I Change My Frame Rate from 24 the 60 fps the particles go ultra fast and are not normal speed anymore
Ok, I see what's happening now.  The reason it's going wonky is because you need to bake the particles first:
Just to make sure it's right, do it before you change the framerate.



After it's completed baking (it could take a minute depending on your processor speed), set the end frame and framerate settings as shown below:



Here's the final, notice the fps in the upper left hand corner: